Sur les rétractes absolus Pn -valués de dimension finie

Robert Cauty

Fundamenta Mathematicae (1998)

  • Volume: 158, Issue: 3, page 241-248
  • ISSN: 0016-2736

Abstract

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We prove that a k-dimensional hereditarily indecomposable metrisable continuum is not a P k -valued absolute retract. We deduce from this that none of the classical characterizations of ANR (metric) extends to the class of stratifiable spaces.

How to cite

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Cauty, Robert. "Sur les rétractes absolus Pn -valués de dimension finie." Fundamenta Mathematicae 158.3 (1998): 241-248. <http://eudml.org/doc/212314>.

@article{Cauty1998,
author = {Cauty, Robert},
journal = {Fundamenta Mathematicae},
keywords = {$P_k$-valued absolute retracts; stratifiable spaces; ANR.},
language = {fre},
number = {3},
pages = {241-248},
title = {Sur les rétractes absolus Pn -valués de dimension finie},
url = {http://eudml.org/doc/212314},
volume = {158},
year = {1998},
}

TY - JOUR
AU - Cauty, Robert
TI - Sur les rétractes absolus Pn -valués de dimension finie
JO - Fundamenta Mathematicae
PY - 1998
VL - 158
IS - 3
SP - 241
EP - 248
LA - fre
KW - $P_k$-valued absolute retracts; stratifiable spaces; ANR.
UR - http://eudml.org/doc/212314
ER -

References

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  1. [1] R. H. Bing, Higher-dimensional hereditarily indecomposable continua, Trans. Amer. Math. Soc. 71 (1951), 267-273. Zbl0043.16901
  2. [2] M. Brown, Some applications of an approximation theorem for inverse limits, Proc. Amer. Math. Soc. 11 (1960), 478-483. Zbl0113.37705
  3. [3] R. Cauty, Un espace métrique linéaire qui n'est pas un rétracte absolu, Fund. Math. 146 (1994), 85-99. 
  4. [4] R. Cauty, Quelques problèmes sur les groupes contractiles et la théorie des rétractes, Mat. Studii 3 (1994), 111-116. 
  5. [5] W. E. Haveri, Locally contractible spaces that are absolute neighborhood retracts, Proc. Amer. Math. Soc. 40 (1973), 280–284 

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